Optimal magnet design for NMR

Author

Gottvald, Alescaron

Author_Institution

Inst. of Sci. Instrum., Czechoslovak Acad. of Sci., Czechoslovakia

Volume

26

Issue

2

fYear

1990

fDate

3/1/1990 12:00:00 AM

Firstpage

399

Lastpage

402

Abstract

The author considers two difficulties inherent to computational methodology of optimal magnet design for NMR (nuclear magnetic resonance): (a) spectral methods of magnetic field analysis that would be highly accurate, fast, and general, and (b) an optimization strategy that would eliminate physically as well as numerically unstable solutions. The least-squares approximation method of zonal harmonics with iterated accuracy improvement is shown to be an effective alternative for the highly accurate spectral analysis of magnetic field in NMR applications. The principle of stability, the averaging of perturbed solutions, and Monte Carlo evolution methods are recommended for optimal magnet design in NMR. Examples of real-world magnet designs are presented

Keywords

Monte Carlo methods; electromagnets; iterative methods; least squares approximations; magnetic fields; nuclear magnetic resonance spectroscopy; numerical methods; Monte Carlo evolution methods; NMR; computational methodology; iterated accuracy improvement; least-squares approximation method; magnetic field analysis; nuclear magnetic resonance; numerically unstable solutions; optimal magnet design; optimization strategy; perturbed solution averaging; spectral analysis; spectral methods; zonal harmonics; Approximation methods; Design optimization; Magnetic analysis; Magnetic fields; Magnetic resonance; Monte Carlo methods; Nuclear magnetic resonance; Physics computing; Spectral analysis; Stability;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.106338

Filename

106338